A completion for partially ordered Abelian groups

DOI10.1007/BF02572489zbMath0541.06011OpenAlexW2011486106MaRDI QIDQ794682

Kimmo I. Rosenthal

Publication date: 1984

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134655

zbMATH Keywords

Scott topologyDedekind completionpartially ordered abelian groupssemicontinuous closed posets

Mathematics Subject Classification ID

Partial orders, general (06A06) Complete lattices, completions (06B23) Ordered topological structures (06F30) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items

ORDER EXTENSIONS AS ADJOINT FUNCTORS, Canonical extensions of posets., Completions for partially ordered semigroups

Cites Work

• Rigidity in closed categories and generalized sup-inf theorems
• Semicontinuous real numbers in a topos
• Algebraic potential theory
• Metric spaces, generalized logic, and closed categories
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